2258138880 has 216 divisors, whose sum is σ = 7858403280. Its totient is φ = 598671360.

The previous prime is 2258138863. The next prime is 2258138881. The reversal of 2258138880 is 888318522.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258138881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430256 + ... + 2431184.

Almost surely, 2^2258138880 is an apocalyptic number.

2258138880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929201640).

2258138880 is an abundant number, since it is smaller than the sum of its proper divisors (5600264400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2258138880 is a wasteful number, since it uses less digits than its factorization.

2258138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2258138880 is about 47519.8787877242. The cubic root of 2258138880 is about 1311.9487884036.

The spelling of 2258138880 in words is "two billion, two hundred fifty-eight million, one hundred thirty-eight thousand, eight hundred eighty".